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Finding the Fourth Proportional to 5,694.25, 7,840.19 and 4,841.83

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Solution

The fourth proportional to 5,694.25, 7,840.19 and 4,841.83 is: 6,666.53

Step by Step Solution

  1. Step 1: Write the proportion equation
    5,694.25 : 7,840.19 = 4,841.83 : x
  2. Step 2: Convert to fraction form
    5,694.25/7,840.19 = 4,841.83/x
  3. Step 3: Cross multiply
    5,694.25x = 7,840.19 × 4,841.83
  4. Step 4: Simplify right side
    5,694.25x = 37,960,867.15
  5. Step 5: Solve for x
    x = 37,960,867.15/5,694.25
  6. Step 6: Final answer
    x = 6,666.53

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.